Find the midpoint of the line segment with end coordinates of: (1,4) and (5,2)

Mathematics

1 answer:

poizon [28]3 years ago

8 0

Midpoint formula: (x1+x2)/2, (y1+y2)/2
(1+5)/2 = 6/2 = 3 for x
(5+2)/2 = 7/2 = 3.5 for y
Midpoint: (3,3.5)

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Write a polynomial function of least degree with integral coefficients that has the

frutty [35]

A polynomial function of least degree with integral coefficients that has the

given zeros $f(x)=x^4+x^3+9x^2+9x$

Given

Given zeros are 3i, -1 and 0

complex zeros occurs in pairs. 3i is one of the zero

-3i is the other zero

So zeros are 3i, -3i, 0 and -1

Now we write the zeros in factor form

If 'a' is a zero then (x-a) is a factor

the factor form of given zeros

$\:\left(x-3i\right)\left(x-\left(-3i\right)\right)\left(x-0\right)\left(x-\left(-1\right)\right)\\\left(x-3i\right)\left(x+3i\right)\left(x-0\right)\left(x+1\right)$

Now we multiply it to get the polynomial

$x\left(x-3i\right)\left(x+3i\right)\left(x+1\right)\\x\left(x^2+9\right)\left(x+1\right)\\x\left(x^3+x^2+9x+9\right)\\x^4+x^3+9x^2+9x$

polynomial function of least degree with integral coefficients that has the

given zeros $f(x)=x^4+x^3+9x^2+9x$

Learn more : brainly.com/question/7619478

6 0

3 years ago

The gas tank is 20% full. At $3.00 per gallon of gas, find the cost to fill the tank. (1 gal = 231 in.3)

rewona [7]

The correct question in the attached figure

we know that

to fill the tank is required--------> 100%-20%--------> 80%
if 20% of the gas tank is-----------------> 288.75 gal
80% --------------------------------------> X gal
X=80*288.75/20--------> X=1155 gal

if 1 gal----------------> cost $3
1155 gal----------> $X
X=1155*3--------> X=$3465

the answer is
the cost to fill the tank is $3465